Rationality of $G/P$ for a nonreduced parabolic subgroup-scheme $P$
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- by Christian Wenzel PDF
- Proc. Amer. Math. Soc. 117 (1993), 899-904 Request permission
Abstract:
Let $G$ be a semisimple linear algebraic group over an algebraically closed field $K$ of characteristic $p > 3$. We have described and classified all parabolic subgroup-schemes of $G$ (Trans. Amer. Math. Soc. (to appear)). Here we will show that $G/P$ is a rational projective variety also for a nonreduced parabolic subgroup-scheme $P$ of $G$.References
- Robert Steinberg, Lectures on Chevalley groups, Yale University, New Haven, Conn., 1968. Notes prepared by John Faulkner and Robert Wilson. MR 0466335 T. A. Springer, Linear algebraic groups, Birkhäuser, Boston, Basel, and Stuttgart, 1981. C. Wenzel, Classification of all parabolic subgroup schemes of a semi-simple linear algebraic group over an algebraically closed field, Trans. Amer. Math. Soc. (to appear).
- Jens Carsten Jantzen, Representations of algebraic groups, Pure and Applied Mathematics, vol. 131, Academic Press, Inc., Boston, MA, 1987. MR 899071
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 899-904
- MSC: Primary 14M17; Secondary 14M20, 20G15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1123669-1
- MathSciNet review: 1123669